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Finding the Fourth Proportional to 12,259.88, 16,917.50 and 8,286.34

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Solution

The fourth proportional to 12,259.88, 16,917.50 and 8,286.34 is: 11,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,259.88 : 16,917.50 = 8,286.34 : x
  2. Step 2: Convert to fraction form
    12,259.88/16,917.50 = 8,286.34/x
  3. Step 3: Cross multiply
    12,259.88x = 16,917.50 × 8,286.34
  4. Step 4: Simplify right side
    12,259.88x = 140,184,156.95
  5. Step 5: Solve for x
    x = 140,184,156.95/12,259.88
  6. Step 6: Final answer
    x = 11,434.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.